Unveiling Higher Dimension: #4D Animation #Pentachoron

Step into the fourth dimension! This animation visualizes a rotating Pentachoron, also known as the 5-cell or the 4-dimensional simplex.

The pentachoron is the simplest regular four-dimensional polytope, the 4D equivalent of a 3D tetrahedron. It consists of 5 vertices, 10 edges, 10 triangular faces, and 5 tetrahedral cells.

In this visualization:

The 4D coordinates of the pentachoron's vertices are defined.

The object is continuously rotated in a 4D plane (specifically the XW plane).

The rotated 4D points are then projected down into 2D using perspective projection, allowing us to see a representation on a standard screen.

The edges connecting the projected vertices are drawn with cycling colors to help distinguish them.

#4D #Pentachoron #Geometry #MathArt#Animation #Visualization #HigherDimensions #5Cell #Simplex#HTML#AI